The equation of line L1 is y= 3x - 2

The equation of line L 2 is 3y - 9x + 5 = 0

Show that the two lines are parallel

Please explain each step as i always struggle with these kind of questions.

YEEEEEET
Feb 10, 2018

#1**+1 **

In the form y = mx + b .......the slope is "m"

So in the line

y = __ 3__x - 2 the slope = 3

Now........ line 2 is

3y - 9x + 5 = 0 ....we want to get y by itself

Add 9x to both sides, subtract 5 from both sides

3y = 9x - 5 divide both sides by 3

y = __3__x - 5/3 and note that the slope is exactly the same as the first one

And two lines with the same slope are always parallel

CPhill
Feb 10, 2018